What is the maximum speed in a spring-mass system with low friction?

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In a horizontal spring-mass system with low friction, the maximum speed can be calculated using energy conservation principles. Given a spring stiffness of 220 N/m and a mass of 0.5 kg, the initial conditions include a spring compression of 10 cm and an initial speed of 3 m/s. The maximum speed during the motion is determined by the total mechanical energy, which remains constant barring energy dissipation. Additionally, with energy dissipation of 0.02 J per cycle, the average power input required to maintain steady oscillation can be calculated. The discussion also touches on determining the angular frequency and frequency of the oscillation.
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Homework Statement



A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 10 cm and an initial speed of the mass of 3 m/s.

(b) What is the maximum speed during the motion?
(c) Now suppose that there is energy dissipation of 0.02 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation?

Homework Equations


The Attempt at a Solution



(a) What is the maximum stretch during the motion?
I got .1745
 
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redalertkev said:

The Attempt at a Solution



(a) What is the maximum stretch during the motion?
I got .1745

I did not check this, but I will assume it is correct.

What is the angular frequency of the oscillation and hence what is the frequency?
 

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